Dynamics Of Synergetic Systems

Author : H. Haken
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642675928

Get Book

Dynamics of Synergetic Systems by H. Haken Pdf

This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24. -29 . • 1979. In keeping with our previous meetings. this one was truly interdisciplinary. Synergetic systems are those that can produce macroscopic spatial. temporal or functional structures in a self-organized way. I think that these proceedings draw a rather coherent picture of the present status of Synergetics, emphasizing this time theoretical aspects, although the proceedings contain also important con tributions from the experimental side. Synergetics has ties to many quite different disciplines as is clearly mirrored by the following articles. Out of the many ties I pick here only one example which is alluded to in the title of this book. Indeed, there is an important branch of mathematics called dynamic systems theory for which the problems of Synergetics might become an eldorado. While, undoubtedly, a good deal of dynamic systems had been motivated by mechanics, such as celestial and fluid dynamics, theory Synergetics provides us with a wealth of related problems of quite different fields, e. g. , lasers or chemical reaction processes. In order to become adequately applicable, in quite a number of realistic cases dynamic systems theory must be developed further. This is equally true for a number of other approaches.

Author : H Haken
Publisher : Unknown
Page : 284 pages
File Size : 42,5 Mb
Release : 1980-02-27
Category : Electronic
ISBN : 364267593X

Get Book

Dynamics of Synergetic Systems by H Haken Pdf

Author : W Tschacher,J-P Dauwalder
Publisher : World Scientific
Page : 336 pages
File Size : 55,9 Mb
Release : 1999-05-14
Category : Science
ISBN : 9789814495080

Get Book

Dynamics, Synergetics, Autonomous Agents by W Tschacher,J-P Dauwalder Pdf

This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science. The shared platform of this work is to advocate a dynamical systems approach to cognition. Several aspects of this approach are considered here: chaos theory, artificial intelligence and Alfie models, catastrophe theory and, most importantly, self-organization theory or synergetics. The application of nonlinear systems theory to cognitive science in general, and to cognitive psychology in particular, is a growing field that has gained further momentum thanks to new contributions from the science of robotics. The recent development in cognitive science towards an account of embodiment, together with the general approach of complexity theory and dynamics, will have a major impact on our psychological understanding of reasoning, thinking and behavior. Contents: Theory and Concepts:Synergetics and Some Applications to Psychology (H Haken)Defending the Dynamical Hypothesis (T van Gelder)From Continuous Dynamics to Symbols (H Jaeger)On Measures for Order and Its Relation to Complexity (J Shiner et al.)Synergetics of Human Creativity (H Knyazeva & H Haken)Dynamical Concepts in Cognitive Psychology:Situated Cognition, Ecological Perception, and Synergetics: A Novel Perspective for Cognitive Psychology? (W Tschacher & J-P Dauwalder)Attitudes and the Self as Self-Organising Systems (R Eiser)An Affect-Centered Model of the Psyche and Its Consequences for a New Understanding of Nonlinear Psychodynamics (L Ciompi)Formation and Adaptation of Schemata (T Bröcker & J Kriz)Simulations of Stagewise Development with a Symbolic Architecture (F Gobet)Autonomous Agents:The Embodied Cognitive Science Approach (C Scheier & R Pfeifer)A Computational Model of Spatial Development (K Hiraki et al.)Societies of Autonomous Agents and Their Reorganization (N Glaser & P Morignot)Investigations into Internal and External Aspects of Dynamic Agent-Environment Couplings (K Dautenhahn)A Formal Theory of Collective Intelligence (W Sulis)Empirical Studies:The Detection of Catastrophe Flags in Personally Relevant Decisions (M Coulson & S Nunn)Synergetic Organization in Speech Rhythm (F Cummins)Exploring the Dynamics of Personality Change with Time Series Models (F Keller et al.)Hierarchical Dynamics Affecting Work Performance in Organizations (S J Guastello) Readership: Psychologists, cognitive scientists, computer scientists, philosophers and biologists. Keywords:Artificial Intelligence (AI);Autonomous Agents;(Embodied) Cognition;(Situated) Cognition;Dynamical Systems;Dynamics;Embodiment;Psychology;Robot;Self-Organization;Synergetics

Author : John S. Nicolis
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642696923

Get Book

Dynamics of Hierarchical Systems by John S. Nicolis Pdf

The main aim of these lectures is to tri gger the interest of the restless under graduate student of physical, mathematical, engineering, or biological sciences in the new and exciting multidisciplinary area of the evolution of "large-scale" dynamical systems. This text grew out of a synthesis of rather heterogeneous mate rial that I presented on various occasions and in different contexts. For example, from lectures given since 1972 to first- and final-year undergraduate and first year graduate students at the School of Engineering of the University of Patras and from informal seminars offered to an international group of graduate and post doctoral students and faculty members at the University of Stuttgart in the aca demic year 1982-1983. Those who search for rigor or even formality in this book are bound to be rather disappointed. My intention is to start from "scratch" if possible, keeping the rea soning heuristic and tied as closely as possible to physical intuition; I assume as prerequisites just basic knowledge of (classical) physics (at the level of the Berkeley series or the Feynman lectures), calculus, and some elements of probabil ity theory. This does not mean that I intended to write an easy book, but rather to eliminate any difficulty for an eager reader who, in spite of incomplete for malistic training, would like to become acquainted with the physical ideas and con cepts underlying the evolution and dynamics of complex systems.

Author : Hajime Takayama
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642745546

Get Book

Cooperative Dynamics in Complex Physical Systems by Hajime Takayama Pdf

Many novel cooperative phenomena found in a variety of systems studied by scientists can be treated using the uniting principles of synergetics. Examples are frustrated and random systems, polymers, spin glasses, neural networks, chemical and biological systems, and fluids. In this book attention is focused on two main problems. First, how local, topological constraints (frustrations) can cause macroscopic cooperative behavior: related ideas initially developed for spin glasses are shown to play key roles also for optimization and the modeling of neural networks. Second, the dynamical constraints that arise from the nonlinear dynamics of the systems: the discussion covers turbulence in fluids, pattern formation, and conventional 1/f noise. The volume will be of interest to anyone wishing to understand the current development of work on complex systems, which is presently one of the most challenging subjects in statistical and condensed matter physics.

Author : Erik Mosekilde,Ole G. Mouritsen
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642792908

Get Book

Modelling the Dynamics of Biological Systems by Erik Mosekilde,Ole G. Mouritsen Pdf

The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.

Author : C. Vidal,A. Pacault
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642701962

Get Book

Non-Equilibrium Dynamics in Chemical Systems by C. Vidal,A. Pacault Pdf

Markedly apart from elementary particle physics, another current has been building up and cont i nuous ly growi ng within contemporary phys i cs for severa 1 decades, and even expanding into many other disciplines, especially chemistry, biology and, quite recently, economics. Several reasons account for this: presumably the most impor tant one lies in the fact that, whatever the specific problem, model or material concerned, the same basic mathematical features are always involved. In this way, a general phenomenology has emerged which, unlike thermodynamics, is no longer depen dent upon the details or specifics: what largely prevails is the nonlinear charac ter of the underlying dynamics. Perhaps we are witnessing the emergence of a "non linear physics"--In a way similar to the birth of "quantum physics" in the twen ties - a physics which deals with the general behaviour of systems, whatever they are or may be. Over the past fifteen years, chemical systems evolving sufficiently far from equilibrium have proved to be particularly well fitted to experimental research on nonlinear behaviour: oscillation, multistability, birhythmicity, chaotic evolution, spatial self-organization and hysteresis are displayed by chemical reactions whose number is growing each year. In this volume are collected the lectures, communica tions and posters (abstracts) presented at an international meeting entitled: "Non-Equilibrium Dynamics in Chemical Systems", held in Bordeaux (France), Septem ber 3 rd-lth, 1984.

Author : Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 51,5 Mb
Release : 2007-07-20
Category : Science
ISBN : 9783540381686

Get Book

Nonlinear Dynamics of Chaotic and Stochastic Systems by Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier Pdf

We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.

Author : Hermann Haken
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642741197

Get Book

Neural and Synergetic Computers by Hermann Haken Pdf

Neural and Synergetic Computers deals with basic aspect of this rapidly developing field. Several contributions are devoted to the application of basic concepts of synergetics and dynamic systems theory to the constructionof neural computers. Further topics include statistical approaches to neural computers and their design (for example by sparse coding), perception motor control, and new types of spatial multistability in lasers.

Author : Hermann Haken
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 54,9 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9783662224502

Get Book

Synergetic Computers and Cognition by Hermann Haken Pdf

This book presents a novel approach to neural nets and thus offers a genuine alternative to the hitherto known neuro-computers. The new edition includes a section on transformation properties of the equations of the synergetic computer and on the invariance properties of the order parameter equations. Further additions are a new section on stereopsis and recent developments in the use of pulse-coupled neural nets for pattern recognition.

Author : Hermann Haken
Publisher : Springer Science & Business Media
Page : 761 pages
File Size : 48,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662101841

Get Book

Synergetics by Hermann Haken Pdf

This book is an often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields as diverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived.

Author : Hermann Haken
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 46,9 Mb
Release : 2006-11-22
Category : Science
ISBN : 9783540462842

Get Book

Brain Dynamics by Hermann Haken Pdf

This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.

Author : H. Haken
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 53,8 Mb
Release : 2002
Category : Mathematics
ISBN : 3540430768

Get Book

Brain Dynamics by H. Haken Pdf

This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. He devotes the main part to the synchronization problem. He presents neural net models more realistic than the conventional ones by taking into account the detailed dynamics of axons, synapses and dendrites, allowing rather arbitrary couplings between neurons. He gives a complete stabile analysis that goes significantly beyond what has been known so far. He also derives pulse-averaged equations including those of the Wilson--Cowan and the Jirsa-Haken-Nunez types and discusses the formation of spatio-temporal neuronal activity pattems. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.

Author : Alexander S. Mikhailov
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642785566

Get Book

Foundations of Synergetics I by Alexander S. Mikhailov Pdf

This book gives an introduction to the mathematical theory of cooperative behavior in active systems of various origins, both natural and artificial. It is based on a lecture course in synergetics which I held for almost ten years at the University of Moscow. The first volume deals mainly with the problems of pattern fonnation and the properties of self-organized regular patterns in distributed active systems. It also contains a discussion of distributed analog information processing which is based on the cooperative dynamics of active systems. The second volume is devoted to the stochastic aspects of self-organization and the properties of self-established chaos. I have tried to avoid delving into particular applications. The primary intention is to present general mathematical models that describe the principal kinds of coopera tive behavior in distributed active systems. Simple examples, ranging from chemical physics to economics, serve only as illustrations of the typical context in which a particular model can apply. The manner of exposition is more in the tradition of theoretical physics than of in mathematics: Elaborate fonnal proofs and rigorous estimates are often replaced the text by arguments based on an intuitive understanding of the relevant models. Because of the interdisciplinary nature of this book, its readers might well come from very diverse fields of endeavor. It was therefore desirable to minimize the re quired preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient.

Author : Hermann Haken,Michael Stadler
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642487798

Get Book

Synergetics of Cognition by Hermann Haken,Michael Stadler Pdf

This book presents the invited lectures given at the International Symposium on Synergetics of Cognition held at SchloB Elmau, Bavaria (Fed. Rep. of Germany), June 4-8, 1989. The understanding of the processes underlying cognition is certainly one of the most challenging and difficult problems confronting the human mind. It is an enterprise that requires the cooperation of scientists from fields ranging from the neurosciences and psychology through biology to the computer sciences, physics and mathematics. The papers included in this volume reflect this joint effort. As will be evident, there is a remarkable convergence of ideas stemming from various fields, for instance, the earlier ideas on Gestalt theory celebrate a come back and remarkable analogies are being established with modem concepts of self-organization as dealt with in the interdisciplinary field of synergetics. The individual topics range from the "microscopic level", where new exciting results on specific oscillations of neural activity are reported, to computer simulations of perception, and finally psychological experiments at the "macroscopic level". We hope that this book will convey to its readers the same enthusiasm that was felt by the participants of the symposium. We wish to thank Mrs. U. Funke for the excellent organisation of the sym posium, and the Volkswagen-Stiftung, Hannover, for its financial support. We are furthermore grateful to Christoph Stadler and Zora Franko for their help in com piling the name and subject indexes. Finally we wish to thank Springer-Verlag, in particular Dr. Angela Lahee, for the excellent cooperation.